Solve for b 12=5/2b

$12 = \frac{5}{2} b$

Step 1

Rewrite the equation as $\frac{5}{2} b = 12$ .

$\frac{5}{2} b = 12$

Step 2

Multiply both sides of the equation by $\frac{2}{5}$ .

$\frac{2}{5} (\frac{5}{2} b) = \frac{2}{5} \cdot 12$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{2}{5} (\frac{5}{2} b)$ .

Combine $\frac{5}{2}$ and $b$ .

$\frac{2}{5} \cdot \frac{5 b}{2} = \frac{2}{5} \cdot 12$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2}{5} \cdot \frac{5 b}{2} = \frac{2}{5} \cdot 12$

Rewrite the expression.

$\frac{1}{5} (5 b) = \frac{2}{5} \cdot 12$

Cancel the common factor of $5$ .

Factor $5$ out of $5 b$ .

$\frac{1}{5} (5 (b)) = \frac{2}{5} \cdot 12$

Cancel the common factor.

$\frac{1}{5} (5 b) = \frac{2}{5} \cdot 12$

Rewrite the expression.

$b = \frac{2}{5} \cdot 12$

Simplify the right side.

Multiply $\frac{2}{5} \cdot 12$ .

Combine $\frac{2}{5}$ and $12$ .

$b = \frac{2 \cdot 12}{5}$

Multiply $2$ by $12$ .

$b = \frac{24}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = \frac{24}{5}$

Decimal Form:

$b = 4.8$

Mixed Number Form:

$b = 4 \frac{4}{5}$